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中文摘要：
利用一个新的Lyapunov-Krasovskii泛函,结合时滞分割法将整个时滞区间划分为N个部分区间,并引入一些自由权矩阵,讨论了一类不确定时滞系统的时滞相关稳定性问题,获得了基于线性矩阵不等式的时滞相关稳定的充分条件,结果具有更小的保守性.仿真实例表明了本文方法的有效性.
英文摘要：
According to a new Lyapunov-Kvasivskill functional and delay decomposition method,which splits the whole delay interval into N subintervals,following the free-weighting matrices lines,the problem of a delay-dependent asymptotic stability for a class of uncertain linear systems with time-delay is discussed,a new delay-dependent asymptotic stability criterion which is less conservative,is presented and expressed in terms of linear matrix inequalities.Numerical examples are given to illustrate the effectiveness of the new proposed stability criterion.
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